CBSE mathematics
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If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A–1) = (det A)k.
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Determine the value of the constant ‘k’ so that the function
is continuous at x = 0.
If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of the z-axis.
suppose the direction cosines of the line be l,m,and n.
we know that l2 + m2+n2 = 1
Let the line make angle θ with the positive direction of the z-axis.
α = 90°, β = 60° γ = θ
Thus,
cos2 90 + cos260 + cos2θ =1
Show that all the diagonal elements of a skew symmetric matrix are zero.
Let A [aij] be a skew symmetric matrix.
so,
aij =-aji for all i,j
⇒aii -aii for all values of i
⇒2aii =0
⇒aii =0 for all values of i
⇒a11 = a22 = a33 =..... ann =0
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Mock Test Series
Mock Test Series